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ScientificWorldJournal. 2013 May 28;2013:424137. doi: 10.1155/2013/424137. Print 2013.

Simulation of quantum dynamics based on the quantum stochastic differential equation.

Author information

1
School of Automation, Guangdong University of Technology, No. 100 Waihuan Xi Road, Guangzhou Higher Education Mega Center, Pan Yu District, Guangzhou, Guangdong, China. mingli4@mail.ustc.edu.cn

Abstract

The quantum stochastic differential equation derived from the Lindblad form quantum master equation is investigated. The general formulation in terms of environment operators representing the quantum state diffusion is given. The numerical simulation algorithm of stochastic process of direct photodetection of a driven two-level system for the predictions of the dynamical behavior is proposed. The effectiveness and superiority of the algorithm are verified by the performance analysis of the accuracy and the computational cost in comparison with the classical Runge-Kutta algorithm.

PMID:
23781156
PMCID:
PMC3679721
DOI:
10.1155/2013/424137
[Indexed for MEDLINE]
Free PMC Article

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